The converse of the statement "If you do not use an appropriate substitution of variables, then you are not able to compute the integral." is A. If you use an appropriate substitution of variables, then you are able to compute the integral. B. If you use an appropriate substitution of variables, then you are not able to compute the integral. C. If you are not able to compute the integral, then you do not use an appropriate substitution of variables. D. If you are able to compute the integral, then you use an appropriate substitution of variables.
Answers
The correct answer is D. If you are able to compute the integral, then you use an appropriate substitution of variables.
To determine the converse of a statement, we switch the positions of the original statement's hypothesis and conclusion. The original statement is "If you do not use an appropriate substitution of variables, then you are not able to compute the integral." Let's break it down:
Hypothesis: "You do not use an appropriate substitution of variables."
Conclusion: "You are not able to compute the integral."
To form the converse, we switch the positions of the hypothesis and conclusion:
Converse Hypothesis: "You are not able to compute the integral."
Converse Conclusion: "You use an appropriate substitution of variables."
Therefore, the converse statement is: "If you are able to compute the integral, then you use an appropriate substitution of variables." This corresponds to option D.
In the converse statement, we are asserting that if someone is able to compute the integral, then they must have used an appropriate substitution of variables. This is because using an appropriate substitution of variables is a necessary condition for being able to compute the integral successfully.
It is important to note that the converse of a statement is not necessarily equivalent to the original statement. In this case, the original statement asserts a cause-and-effect relationship between using an appropriate substitution and being able to compute the integral, while the converse only states a conditional relationship.
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Related Questions
If two angles are supplementary and one of the angles measures 62°, what is the measure of the other angle?
Answers
Answer:118 for the other angle
Step-by-step explanation:trust me bro
Point M is the midpoint of AB. The coordinates of point A are (-6, 3) and the coordinates of M are -2,2). What are the coordinates of polnt B?
Answers
Answer:
Step-by-step explanation:
(x - 6)/2= -2
x - 6 = -4
x = 2
(y + 3)/2 = 2
y + 3 = 4
y = 1
(2, 1) coordinates of B
How do you calculate HP to kW?
Answers
To convert HP to kW, divide the HP by 0.746. both are unit of measurement of power .
The conversion formula to convert Horsepower (HP) to Kilowatts (kW) , we need to multipy Horsepower by 0.746 which is conversion factor
The fomula for the conversion given by : Kilowatts = Horsepower x 0.746.
The factor 0.746 is used to convert the unit of power from HP to kW. To convert HP to kW, divide the number of HP by 0.746. This will give you the equivalent power in kilowatts. It is important to note that 1 HP is equal to 0.746 kW.
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A fitness center opens to provide exercise opportunities for a community. The fitness
center charges customers a $35.95 monthly fee plus a one-time $125 administration fee.
What is the total cost of a 12-month membership at the fitness center?
Answers
you would do 35.95 * 12 and then add 125 to the total you get when you multiplied
Find the length of the
missing side of the triangle
to the nearest tenth.
Answers
You’re looking for one of the legs here, so after inputting the values your equations should look like this: 6^2 + b^2 = 10^2.
Next, find what the numbers squared are: 36 + b^2 = 100.
Then, isolate the variable: b^2 = 64.
Lastly, square root both sides: √b^2 = √64.
You should find the answer is 8.
Find the area of the
composite figure.
14in
6in
Answers
Answer:
i think 14-6
Step-by-step explanation:
the owner of a zoo described to take a random sample of the zoos visitors to find out which exhibit was the visitor's favorite. the results are shown in the provided table. if the zoo has 819 visitors , about how many would say the gorillas is their favorite exhibit?
Answers
819 is the answer because thats how many visitors he got
which number line best shows the position of square root of 3
HURRRYYY PLEASE
Answers
Answer:
I think no 4 shows the best position for 3
in a clinical test with 515 subjects, 80 showed improvement from the treatment. find the margin of error for the 92.5 percent confidence interval used to estimate the population proportion that showed improvement.
Answers
The margin of error for the 92.5% confidence interval to measure the population estimate is 0.0349 .
We have the following confidence interval of proportions in a sample of n people who were polled, with a success probability of and a confidence level of.
In which n = 515
z is the z-score that has a p-value of 1 - 92.5 = 7.5
The margin of error is of:
80 of the 515 participants in a clinical trial exhibited improvement after the treatment.
This means that
92.5% confidence level
So , z is the value of Z that has a p-value of , so .
Margin of error:
\(Z_{\frac{\alpha}{2}}\cdot \sqrt{\frac{p(1-p)}{n} }\) = 0.0349
The margin of error for the 92.5% confidence interval used to estimate the population proportion is of 0.0349 .
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
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in hypothetical measurements, you record 1 decimal when using a graduated cylinder, 2 decimals when using a buret, and 4 decimals when using a balance. which device is most precise in measuring volume? why?
Answers
The graduated cylinder is most precise in measuring volume.
Precision is the degree to which separate measurements agree with one another. The general rule is that you can estimate one additional digit past the measuring device's smallest division, 100-mL graduated cylinders are read to 1 decimal, and the smallest graduated cylinder will hold the entire volume.
Precision refers to the number of significant figures in a measurement. When measuring liquid volumes, it is critical to read the graduated scale from the lowest point on the curved surface of the liquid, known as the liquid meniscus.
Graduated cylinders are ideal for precise liquid measurements with a much smaller margin of error.The device with the most precision in measuring volume is the balance. Precision refers to the level of detail and the number of significant digits in a measurement, and more significant digits indicate a higher level of precision. In this case, the balance provides the greatest level of precision with 4 decimal places, while the graduated cylinder provides only 1 decimal place and the buret provides 2 decimal places.This means that the balance provides the most accurate and detailed measurement of volume compared to the other two devices.
Hence, the graduated cylinder is most precise in measuring volume.
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Today is Derek's 25th birthday. Derek has been advised that he needs to have $2,176,097.00 in his retirement account the day he turns 65 . He estimates his retirement account will pay 8.00% interest. Assume he chooses not to deposit anything today. Rather he chooses to make annual deposits into the retirement account starting on his 27.00 th birthday and ending on his 65th birthday. How much must those deposits be? Answer format: Currency: Round to: 2 decimal places.
Answers
To accumulate $2,176,097.00 in his retirement account by age 65, Derek needs to make annual deposits of $5,000.00 starting on his 27th birthday and ending on his 65th birthday, assuming an 8.00% interest rate.
To determine the annual deposits Derek needs to make, we can use the future value of an ordinary annuity formula. First, we calculate the number of years between Derek's 25th and 65th birthdays, which is 65 - 25 = 40 years. Next, we calculate the future value of the retirement account using the given interest rate of 8.00%. Using the formula:
Future Value = Present Value * (1 + interest rate)^number of periods
In this case, the future value is $2,176,097.00, the interest rate is 8.00%, and the number of periods is 40. We can rearrange the formula to solve for the present value:Present Value = Future Value / (1 + interest rate)^number of periods
Substituting the values:Present Value = $2,176,097.00 / (1 + 0.08)^40 = $123,529.31 (rounded to 2 decimal places)
Now, we need to find the annual deposit amount. Since Derek starts making deposits on his 27th birthday and ends on his 65th birthday, he makes deposits for 65 - 27 = 38 years.Annual Deposit = Present Value / ((1 + interest rate)^number of periods - 1)Substituting the values:
Annual Deposit = $123,529.31 / ((1 + 0.08)^38 - 1) = $5,000.00 (rounded to 2 decimal places)Therefore, Derek must make annual deposits of $5,000.00 into his retirement account starting on his 27th birthday and ending on his 65th birthday to accumulate $2,176,097.00 by the time he turns 65.
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The sum of the measures of the exterior angles of an n-gon, one at each vertex, is ____
Answers
Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation:
Simplify an expression for the perimeter of the equilateral triangle shown below, in centimeters.
Show your work AND Label your answer!
1.75x – 2
Answers
Answer:
1.75×2-2
Step-by-step explanation:
HELP PLEASE solve for x and round to the nearest tenth
Answers
Answer:
11.03377918, which is 11.0 if rounded
Step-by-step explanation:
Since We have a leg and an angle we should use a trig
Soh cah toa
According to the angle we have opposite and we are looking for hypotenuse
meaning we'll need sin(X)
sin(x) = o/h sin(65) = 10/x x = 11.03377918
Find an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
Answers
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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in an observational study, group of answer choices lurking variables are not imposed and therefore have no obvious effect on the recorded variables. the individuals are blinded to the study variables. the explanatory variables are confounded with the reasons behind these variables. the explanatory variables are imposed conditions assigned at random.
Answers
In an observational study, lurking variables are present but not explicitly accounted for in the study design. These variables may have an effect on the outcome variable and can lead to confounding.
Lurking variables are variables that are not directly measured or controlled in a study, but can affect the relationship between the variables of interest. They can lead to confounding, which is when the effect of one variable on the outcome cannot be separated from the effect of another variable. In an observational study, it can be more difficult to identify and control for lurking variables, which can weaken the ability to draw causal conclusions.
Blinding is a technique used in some studies to reduce bias by hiding the treatment or condition from either the participants, the researchers, or both. In a single-blind study, either the participants or the researchers are unaware of the treatment or condition, while in a double-blind study, both the participants and the researchers are unaware. Blinding can help reduce bias by preventing expectations from influencing the results.
Confounding occurs when the effect of one variable on the outcome cannot be separated from the effect of another variable. This can lead to incorrect conclusions about the relationship between the variables of interest. For example, in a study looking at the relationship between coffee consumption and heart disease, age could be a lurking variable that affects both coffee consumption and the risk of heart disease. If age is not controlled for, it could lead to a false conclusion about the relationship between coffee consumption and heart disease.
Random assignment is a technique used in experimental studies to assign participants to different treatments or conditions at random, which helps to ensure that the groups are similar in all aspects except for the treatment or condition. This reduces the potential for confounding and helps to establish a causal relationship between the treatment or condition and the outcome.
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Simplify the following ratios
of 350:400
Answers
Answer:
Step-by-step explanation:
The simplest form is 78.
One-eighth of the students in the seventh grade are in the school band. There are 44 students in the school band. Find the number of students in the seventh grade.
Answers
Answer: the correct answer is 5.5 students, but their cannot be one half of a student
Step-by-step explanation:
If function ghas the factors (x-7) and (x + 6), what are the zeros of function g?
Answers
Answer:
x = 7, -6
Step-by-step explanation:
Since they already give you the binomial factors, all you need to do is set them equal to 0 to find your roots:
x - 7 = 0
x = 7
x + 6 = 0
x = -6
Answer:
The zeros are 7 and -6Step-by-step explanation:
(x-7)(x+6)=0
x-7=0/(x+6)
x cannot be -6
x-7=0
x=7
x+6=0/(x-7)
x+6=0
x=-6
The zeros are 7 and -6
Calculate.
\(\sqrt{(-4.5)^{4}}\)
Answers
Answer:
Step-by-step explanation:
\(\sqrt{(-4.5)^{4}}=\sqrt{(-4.5)*(-4.5)*(-4.5)*(-4.5)}\\\\= (-4.5) * (-4.5)\\\\= 20.25\)
the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Answers
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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Find the midpoint of the segment with the following endpoints.
(
8
,
2
)
and
(
1
,
10
)
(8,2) and (1,10)
Answers
Because the midpoint formula is (x1+x2/2),(y1+y2/2)
Therefore being 8+1/2 = 9/2 = 4.5 for x
And 2+10/2 = 12/2 = 6 for y
The sum of two numbers is 25. Twice the first number minus the second is 6. Find the numbers.
Answers
Answer:
Step-by-step explanation:
x + y = 25
2x - y = 6 Solve for y in this the second equation. Add y to both sides
2x = 6 + y The ys on the left cancel. Subtract 6 from both sides.
2x - 6 = y
Put this value of y into the first equation
x + y = 25
x + 2x - 6 = 25 Combine on the left
3x - 6 = 25 Add 6 to both sides.
3x = 25 + 6 Combine the right
3x = 31 Divide by 3
x = 31 / 3
x = 10.333333
x + y = 25
10.33333 + y = 25 Subtract 10.33333
y = 25 - 10.333333
y = 14.666666
x + y = 25
10.33333 + 14.66666
25 approximately.
2x - y = 6
2*10.33333 - 14.66666
20.66666 - 14.66666
6
You should note that those numbers are repeating decimals
2x - 6 = y
the edge of a cube is growing at a rate of 6 inches per second at the instant when the edge of the cube has a length of 11 inches. what is the rate of change of the volume of the cube at that instant?
Answers
The edge of a cube is growing at a rate of 6 inches per second at the instant when the edge of the cube has a length of 11 inches. Hence, the rate of change of the volume of the cube at that instant will be 2178 \(inches^3\) /s.
The volume of the cube V = \(a ^ 3\)
where 'a' is the edge.
Rate of increase of volume = dV / dt = 3a^2 da/dt.
da/dt = 6 inches /s
dV / dt = 3 \(a^2\) da/dt.
When a = 11 inches.
dV /dt = 3 x \(11 ^2\) x 6
= 3 x 121 x 6
= 2178 \(inches^3\) /s
Hence, the rate of change of the volume of the cube at that instant will be 2178 \(inches^3\) /s.
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When two explanatory variables are associated with the response variable and each other they are called __________ variables.
Answers
Correlated variables are two explanatory factors that are connected to both the response variable and each other. The statistical relationship between two variables, which shows how they change together, is referred to as correlation.
Explanatory variables are used in regression analysis to forecast or explain the response variable. A correlation between two explanatory variables indicates that changes in one are influenced by changes in the other. Understanding the relationship between the explanatory variables and the response variable can be significantly impacted by this correlation. When analysing data, it's crucial to take into account the presence of correlated variables in order to avoid problems like multicollinearity and properly interpret the analysis's findings.
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(3xy)^2x^4y/x^5
A. 3y^3
B. 3xy^3
C. 9xy^3
D. 9x^5y^3
Answers
Answer:
It is the third one
Step-by-step explanation
3 times 3 equals 9.
By solving Power equation, answer of the equation \(\frac{(3x)^2x^4y}{x^5}\) is 9xy³.
What is Power equation?The power is "a number says how many times to use the number in a multiplication".
According to the question,
\(\frac{(3x)^2x^4y}{x^5}\) = \(\frac{9x^2y^2x^4y}{x^5}\) [using power equation]
= 9xy².
Hence, By solving Power equation answer of the equation \(\frac{(3x)^2x^4y}{x^5}\) is 9xy³
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Which equation is the inverse of y = 16x2 + 1?
y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot
y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 16 EndFraction
y = StartFraction plus-or-minus StartRoot x EndRoot Over 4 EndFraction minus one-fourth
Answers
The inverse of the given function, y = 16x² + 1 is: B. y = ±√(x - 1)/16
What is an inverse function?In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).
Generally speaking, a given function (f(x)) and its inverse function has the following property f⁻¹(f(x)) = x.
In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows:
y = 16x² + 1
x = 16y² + 1
Subtracting 1 from both sides, we have:
16y² + 1 - 1 = x - 1
16y² = x - 1
Dividing both sides by 16, we have:
y² = (x - 1)/16
Taking the square root of both sides, we have:
y = ±√(x - 1)/16
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Jillian and Nikki each filled their cars with gasoline. The graphs below show the amount of gas in each car and the miles driven since filling the tank.
A graph titled Jillian's Car has miles driven on the x-axis, and gallons of gas left on the y-axis. A line goes through (0, 22) and (100, 16). A graph titled Nikki's Car has miles driven on the x-axis and gallons of gas left on the y-axis. A line goes through points (0, 20) and (100, 16).
Which statement is supported by the graphs?
Answers
Answer:
it's AAAAAAAAAAAAAAAAAAA
Answer:
It's A <3
I took the test. ^^
what is the last digit of 3 with a power of 2011
Answers
So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.
Find the sum or difference of (-y^2+y+2)-(y^2-5y-2)
Answers
Answer:
Are people actually expected to do this?
Step-by-step explanation:
Answer:
-2 y^2 + 6 y + 4
Step-by-step explanation: